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Simplifying -6(1 + 3x) = 102 (1 * -6 + 3x * -6) = 102 (-6 + -18x) = 102 Solving -6 + -18x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -18x = 102 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 102 + 6 -18x = 102 + 6 Combine like terms: 102 + 6 = 108 -18x = 108 Divide each side by '-18'. x = -6 Simplifying x = -6
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